This is a review of a coherent body of knowledge, which perhaps deserves the name of the geometric spectral theory of positive linear operators (in finite dimensions), developed by this author and his co-author Hans Schneider (or S.F. Wu) over the past decade. The following topics are covered, besides others: combinatorial spectral theory of nonnegative matrices, Collatz-Wielandt sets (or numbers) associated with a cone-preserving map, dis¬tinguished eigenvalues, cone-solvability theorems, the peripheral spectrum and the core, the invariant faces, the spectral pairs, and an extension of the Rothblum Index theorem.
2000年國際數學與統計研討會暨第34屆中華民國數學會年會：慶祝淡江大學創校五十週年校慶 (2000 international conference on mathematics and statistics and 34th annual meeting of mathematical society of R.O.C. : commemorating the 50th anniversary of Tamkang University), pp.69